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Restriction results for multilinear multipliers in weighted settings

Published online by Cambridge University Press:  02 April 2015

Salvador Rodríguez-López
Salvador Rodríguez-López*
Affiliation:
Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK, ([email protected])
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Abstract

We obtain restriction results of de Leeuw’s type for maximal operators defined through multilinear Fourier multipliers of either strong or weak type acting on weighted Lebesgue spaces. We give some applications of our development. In particular, we obtain periodic weighted results for Coifman–Meyer-, Hörmander- and Hörmander–Mihlin-type multilinear multipliers.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 2 , April 2015 , pp. 391 - 409
Copyright
Copyright © Royal Society of Edinburgh 2015 

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